242181988920 has 96 divisors (see below), whose sum is σ = 808364250720. Its totient is φ = 62836404480.

The previous prime is 242181988903. The next prime is 242181988921. The reversal of 242181988920 is 29889181242.

242181988920 is a `hidden beast` number, since 2 + 421 + 8 + 198 + 8 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242181988921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9077596 + ... + 9104235.

It is an arithmetic number, because the mean of its divisors is an integer number (8420460945).

Almost surely, 2^242181988920 is an apocalyptic number.

242181988920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242181988920 is an abundant number, since it is smaller than the sum of its proper divisors (566182261800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242181988920 is a wasteful number, since it uses less digits than its factorization.

242181988920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18181885 (or 18181878 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 242181988920 in words is "two hundred forty-two billion, one hundred eighty-one million, nine hundred eighty-eight thousand, nine hundred twenty".